A counterexample to the "hot spots" conjecture

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dc.contributor.authorBurdzy, Krzysztof
dc.contributor.authorWerner, Wendelin
dc.date.accessioned2005-11-29T01:36:24Z
dc.date.available2005-11-29T01:36:24Z
dc.date.issued1999-01
dc.description.abstractWe construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the second eigenvalue of the Laplacian in that domain with Neumann boundary conditions is simple and such that the corresponding eigenfunction attains its strict maximum at an interior point of that domain.en
dc.description.sponsorshipResearch partially supported by NSF grant DMS-9700721.en
dc.format.extent130927 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationBurdzy, K. & W. Werner. (1999). A counterexample to the "hot spots" conjecture. Annals of Mathematics, 149(1), 309-317.en
dc.identifier.urihttp://hdl.handle.net/1773/2198
dc.language.isoen_US
dc.publisherPrinceton University and Institute for Advanced Studyen
dc.subjecteigenvaluesen
dc.subjectHot spotsen
dc.subjectLaplacianen
dc.subjectNeumann boundary conditionsen
dc.subjecteigenfunctionen
dc.titleA counterexample to the "hot spots" conjectureen
dc.typeArticleen

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